Online GCD Calculator is useful to find the GCD of 399, 748, 218, 342 quickly. Get the easiest ways to solve the greatest common divisor of 399, 748, 218, 342 i.e 1 in different methods as follows.
Given Input numbers are 399, 748, 218, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (399, 748, 218, 342) = 1.
Given numbers are 399, 748, 218, 342
The list of prime factors of all numbers are
Prime factors of 399 are 3 x 7 x 19
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 218 are 2 x 109
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 399, 748, 218, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(399, 748) = 298452
GCD(399, 748) = ( 399 x 748 ) / 298452
= 399 / 748
= 399
Step2:
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
= 1 / 218
= 1
Step3:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 399, 748, 218, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 399, 748, 218, 342
The greatest common divisor of numbers 399, 748, 218, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 748, 218, 342 is 1.
1. What is the GCD of 399, 748, 218, 342?
GCD of given numbers 399, 748, 218, 342 is 1
2. How to calculate the greatest common divisor of 399, 748, 218, 342?
We can find the highest common divisor of 399, 748, 218, 342 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 399, 748, 218, 342 i.e 1.
3. How can I use the GCD of 399, 748, 218, 342Calculator?
Out the numbers 399, 748, 218, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.